GCF of 257/224, 8154/719
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 257/224, 8154/719 i.e 1/161056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 257/224, 8154/719.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 257/224,8154/719?
Given fractions are 257/224,8154/719
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 257/224,8154/719, numerators are 257,8154
Denominators are 224,719
The GCF of 257,8154 is 1 .
LCM of 224,719 is 161056.
The greatest common factor of 257/224,8154/719 = [GCF of 257,8154]/[LCM of 224,719]= 1/161056
Therefore, the GCF of 257/224,8154/719 is 1/161056.
To find the highest common factor of 257,8154, we have to find the factors of both numbers and list the highest common factor.
The factors of 257 are 1, 257
The factors of 8154 are 1, 2, 3, 6, 9, 18, 27, 54, 151, 302, 453, 906, 1359, 2718, 4077, 8154
The HCF of 257,8154 is 1.
Lets's calculate GCF of 257,8154
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 257,8154 By Matching Biggest Common Factor Method
Now, list down the factors of 257
:1,257
Now, list down the factors of 8154
:1,2,3,6,9,18,27,54,151,302,453,906,1359,2718,4077,8154
Greatest Common Factor
We found the factors 257,8154 . The biggest common factor number is the GCF number.
So the greatest common factor 257,8154 is 1.
Lets's calculate LCM of 224,719
Given numbers has no common factors except 1. So, there LCM is their product i.e 161056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161056
Therefore, the GCF of Fractions 257/224,8154/719 is 1/161056
Least Common Multiple of 224,719 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 224,719 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,719) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(224,719) x common factors =1 x 1 = 1
LCM(224,719) = ( 224 × 719 ) / 1
LCM(224,719) = 161056 / 1
LCM(224,719) = 161056
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FAQs on GCF of Fractions of 257/224, 8154/719
1. What is the HCF of 257,8154?
The HCF of 257,8154 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 257/224, 8154/719?
Answer: GCF of Numerators as per given numbers 257/224, 8154/719 is
GCF of Numerators i.e. for 257,8154 is 1
LCM of denominators i.e. for 224,719 is 161056.
Thus, GCF of Fractions is 1/161056.Finally, GCF of Fractions for 257/224, 8154/719 is 1/161056.